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To carry out spectral image inversion in a static computational spectral imager is a crucial step for accomplishing its theoretical advantages, so the data processing technology for spectral image inversion will determine the final spectral image achieved. Focusing on the spectral image inversion, we have investigated various algorithms such as image reconstruction, image compressed sensing and spectral image inversion theories, and compared them carefully. By taking into account the data transmission link of the system and the error in the engineering development process, a comprehensive simulation is carried out. The key issue of spectral image inversion, and also how to use the inversion algorithms to achieve its optimized routes are pointed out. So a detailed analysis for realizing the theoretical advantages and ensuring instrument technology development is provided.
[1] Wagadarikar A A, John R, Willett R, Brady J D 2008 Appl. Opt. 47 B44
[2] Brady J D, Aristide D, Fiddy A M, Mahalanobis A 2008 Appl. Opt. 47 11
[3] Gehm M E, John R, Brady J D, Willett M R, Schulz J T 2008 Opt. Express 17 14013
[4] Xiang L B, Yuan Y, Lu Q B 2009 Acta Phys. Sin. 58 5400 (in Chinese) [相里斌, 袁艳, 吕群波 2009 58 5400]
[5] Jin X L 2010 Acta Phys. Sin. 59 692 (in Chinese) [季小玲2010 59 692]
[6] Wei H Y, Wu Z S, Peng H 2008 Acta Phys. Sin. 57 6666 (in Chinese) [韦宏艳,吴振 森, 彭辉2008 57 6666]
[7] Candés E 2006 Proceedings of the International Congress of Mathematicians Madrid, Spain 2006 p1433
[8] Candés E J, Tao T 2006 IEEE Trans. Info. Theory 52 5406
[9] Donoho D L 2006 IEEE Trans. on Information Theory 52 1289
[10] Sun B, Zhang J J 2011 Acta Phys. Sin. 60 110701 (in Chinese) [孙彪,张建军2011 60 110701]
[11] Bioucas-Dias J M, Member IEEE, Figueiredo M A T2007 IEEE Trans. Image Process. 16 2992
[12] Mallat S, Zhang Z1993 IEEE Trans. Signal Process. 41 3397
[13] Arguello H, Arce R G 2011 J. Opt. Soc. Am. 28 2400
[14] Liu Z, Wang S Q, Rao C H 2012 Acta Phys. Sin. 61 039501 (in Chinese) [刘政, 王胜千,饶长辉 2012 61 039501]
[15] Zhao L Y, Ma Q L, Li X R 2012 Acta Phys. Sin. 61 194204 (in Chinese) [赵辽英, 马启良, 历小润 2012 61 192404]
[16] Gan T, Feng S T, Nie S P, Zhu Z Q 2012 Acta Phys. Sin. 61 084203 (in Chinese)[甘甜,冯少彤,聂守平,朱竹青 2012 61 084203]
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[1] Wagadarikar A A, John R, Willett R, Brady J D 2008 Appl. Opt. 47 B44
[2] Brady J D, Aristide D, Fiddy A M, Mahalanobis A 2008 Appl. Opt. 47 11
[3] Gehm M E, John R, Brady J D, Willett M R, Schulz J T 2008 Opt. Express 17 14013
[4] Xiang L B, Yuan Y, Lu Q B 2009 Acta Phys. Sin. 58 5400 (in Chinese) [相里斌, 袁艳, 吕群波 2009 58 5400]
[5] Jin X L 2010 Acta Phys. Sin. 59 692 (in Chinese) [季小玲2010 59 692]
[6] Wei H Y, Wu Z S, Peng H 2008 Acta Phys. Sin. 57 6666 (in Chinese) [韦宏艳,吴振 森, 彭辉2008 57 6666]
[7] Candés E 2006 Proceedings of the International Congress of Mathematicians Madrid, Spain 2006 p1433
[8] Candés E J, Tao T 2006 IEEE Trans. Info. Theory 52 5406
[9] Donoho D L 2006 IEEE Trans. on Information Theory 52 1289
[10] Sun B, Zhang J J 2011 Acta Phys. Sin. 60 110701 (in Chinese) [孙彪,张建军2011 60 110701]
[11] Bioucas-Dias J M, Member IEEE, Figueiredo M A T2007 IEEE Trans. Image Process. 16 2992
[12] Mallat S, Zhang Z1993 IEEE Trans. Signal Process. 41 3397
[13] Arguello H, Arce R G 2011 J. Opt. Soc. Am. 28 2400
[14] Liu Z, Wang S Q, Rao C H 2012 Acta Phys. Sin. 61 039501 (in Chinese) [刘政, 王胜千,饶长辉 2012 61 039501]
[15] Zhao L Y, Ma Q L, Li X R 2012 Acta Phys. Sin. 61 194204 (in Chinese) [赵辽英, 马启良, 历小润 2012 61 192404]
[16] Gan T, Feng S T, Nie S P, Zhu Z Q 2012 Acta Phys. Sin. 61 084203 (in Chinese)[甘甜,冯少彤,聂守平,朱竹青 2012 61 084203]
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